Question

4 power 7 ÷ 4 power3 = 4 power -2
÷ 4power 5n-1​

Answer 1

$\huge \tt {4}^{7} \div {4}^{3} = {4}^{ - 2} \div {4}^{5n - 1} \\ \\ \huge \tt \frac{{4}^{7} } {{4}^{3} } = \frac {{4}^{ - 2} }{{4}^{5n - 1} } \\ \\ \huge \tt \frac{{4}^{7} } {{4}^{3} } = \frac {{4}^{1 - 5n} }{ {4}^{2} } \\ \\ \huge \tt \frac{{4}^{7} \times {4}^{2} } {{4}^{3} } = {{4}^{1 - 5n} } \\ \\ \huge \tt {4}^{7 + 2 - 3} = {{4}^{1 - 5n} } \\ \\ \huge \tt 6 = 1 - 5n \\ \\ \huge \tt - 5 = 5n \\ \\ \huge \tt n = - 1$

Answer 2

[tex] {4}^{7} \div {4}^{3} = {4}^{ - 2} \div {4}^{5n - 1} \\ = {4}^{7 - 3} = {4}^{ - 2} \div {4}^{5n - 1} \\ = {4}^{4} \times {4}^{ - 2} = {4}^{5n - 1}

8=5n-1 \\ 9=5n \\ n=9/5

hope it helps you ✌️✅✅✅